Geometric properties of functions containing derivatives of Bessel function
Yazarlar (2)
Institute Of Innovation İn Technology & Management, Hindistan
Doç. Dr. Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | Journal of Analysis |
| Dergi ISSN | 0971-3611 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | Web of Science - Emerging Sources Citation Index |
| Makale Dili | İngilizce |
| Basım Tarihi | 10-2024 |
| Cilt No | 32 |
| Sayı | 5 |
| Sayfalar | 2463 / 2484 |
| DOI Numarası | 10.1007/s41478-024-00737-0 |
| Makale Linki | http://dx.doi.org/10.1007/s41478-024-00737-0 |
| Özet |
| Let Jξ(z) denotes the Bessel function of the first kind of order ξ. For three different kinds of normalizations of Nξ(z)=az2Jξ″(z)+bzJξ′(z)+cJξ(z), we find the radius for Ma–Minda classes: S∗φ-radii and Cφ-radii. We further establish the radii of γ-spirallike of order α and convex γ-spirallike of order α of these normalized functions. As an application of our results, we derive sufficient conditions for the Nξ(z) to be a member of the unified subclasses of starlike and convex functions. The obtained radii are sharp. |
| Anahtar Kelimeler |
| 30C15 | 30C45 | Bessel functions | Ma–Minda classes | Radius problems | Starlikeness and convexity | γ-Spirallike functions |
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 4 |
| Google Scholar | 4 |